Exponential Decay Functions Flashcards

What is the initial number of carbon-14 atoms in the organism at death?

How many atoms of carbon-14 will be present after 14,325 years if the initial amount was 200?

What are the properties of carbon-14? (Select all that apply)

What sensitive tool did Willard F. Libby use to date artifacts?

Where did Willard F. Libby receive his undergraduate degree?

Which function represents exponential decay?

Which graph represents exponential decay?

In order for the table to show exponential decay, what must the value of d be?

Which statements describe the function f(x) = 3()x? (Select all that apply)

Which function represents the given graph?

Which graph represents the function f(x) = (3/2)^(-x)?

What values should the doctor use for a and b in the exponential function representing bone density?

Which statements about the bee population situation are true? (Select all that apply)

How do the graphs of the functions f(x) = ()x and g(x) = ()x compare?

Carbon-14 decay: Initial count is 500 atoms. After 11,460 years, only 125 atoms remain, leading to 25 atoms after additional years.
Half-life of carbon-14 is approximately 5,730 years; this means after 14,325 years, 35.36 atoms will be left if starting with 200.

Functional properties and specific characteristics must be verified against provided reading.

Developed sensitive tools for dating artifacts, indicating precise methodologies in radiocarbon dating.
Completed undergraduate degree at D and graduate studies leading to a professorship at D. Awarded Nobel Prize in B in 1960.

Functions representing exponential decay must be identified (like N(t) = N0).
Graphs indicating exponential decay can be distinguished from those showing growth; correct representation can be found labeled D or B in examples.

Doctor's function to model patient’s bone density loss at 3% annually requires initial density of 1,500 kg/mg³, and decay factor of 0.97 in function form f(x) = ab^x.

Farmer observes a population of 9,000 bees decreasing at 5% per year; implications and characteristics of the function representing this decline must be analyzed.

Examining relationships between graphs of exponential functions can show relationships such as reflections across axes; specifically, one function demonstrating growth while the other showcases decay.